1.3k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Universidad Autónoma de MadridES613 papers
- Institute of Mathematical SciencesIN550 papers
- Consejo Superior de Investigaciones CientíficasES482 papers
- Universidad Complutense de MadridES354 papers
- Instituto de Ciencia de Materiales de MadridES100 papers
- Instituto de Estructura de la MateriaES87 papers
- Universidad Politécnica de MadridES86 papers
- Universidad de ZaragozaES78 papers
- Centre National de la Recherche ScientifiqueFR69 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di NapoliIT62 papers
- IMDEA NetworksES53 papers
- Universidad de SevillaES51 papers
114 papers · 1 filter
Smooth sets of fields: A pedagogical introduction
Alberto Ibort, Arnau Mas
In order to provide a good categorical setting to the many different spaces of fields arising in the description of physical theories, a pedagogical introduction to the categorical…
Undecidability in Physics: a Review
Álvaro Perales-Eceiza, Toby Cubitt, Mile Gu +2
The study of undecidability in problems arising from physics has experienced a renewed interest, mainly in connection with quantum information problems. The goal of this review is…
Jacobi algebroids and Jacobi sigma models
Fabio Di Cosmo, Katarzyna Grabowska, Janusz Grabowski
The definition of an action functional for the Jacobi sigma models, known for Jacobi brackets of functions, is generalized to \emph{Jacobi bundles}, i.e., Lie brackets on sections…
A new perspective on nonholonomic brackets and Hamilton-Jacobi theory
Manuel de León, Manuel Lainz, Asier López-Gordón +1
The nonholonomic dynamics can be described by the so-called nonholonomic bracket on the constrained submanifold, which is a non-integrable modification of the Poisson bracket of th…
Hybrid Koopman C*-formalism and the hybrid quantum-classical master equation
C. Bouthelier-Madre, J. Clemente-Gallardo, L. González-Bravo +1
Based on Koopman formalism for classical statistical mechanics, we propose a formalism to define hybrid quantum-classical dynamical systems by defining (outer) automorphisms of the…
On a sharper bound on the stability of non-autonomous Schrödinger equations and applications to quantum control
Aitor Balmaseda, Davide Lonigro, Juan Manuel Pérez-Pardo
We study the stability of the Schrödinger equation generated by time-dependent Hamiltonians with constant form domain. That is, we bound the difference between solutions of the Sch…
Some remarks on the notion of transitions
Florio M. Ciaglia aand Fabio Di Cosmo
In this paper some reflections on the concept of transition are presented: groupoids are introduced as models for the construction of a ``generalized logic'' whose basic statements…
Can Čencov meet Petz?
Florio M. Ciaglia, Fabio Di Cosmo, Laura González-Bravo
We discuss how to exploit the recent formulation of classical and quantum information geometry in terms of normal states on -algebras to formulate a problem that unifies Cen…
Nonholonomic brackets: Eden revisited
Manuel de León, Manuel Lainz, Asier López-Gordón +1
The nonholonomic dynamics can be described by the so-called nonholonomic bracket in the constrained submanifold, which is a non-integrable modification of the Poisson bracket of th…
Hamilton-Jacobi theory for nonholonomic and forced hybrid mechanical systems
Leonardo Colombo, Manuel de León, María Emma Eyrea Irazú +1
A hybrid system is a system whose dynamics is given by a mixture of both continuous and discrete transitions. In particular, these systems can be utilised to describe the dynamics…
The Geometry of the solution space of first order Hamiltonian field theories I: from particle dynamics to free Electrodynamics
Florio M. Ciaglia, Fabio Di Cosmo, Alberto Ibort +3
We analyse the problem of defining a Poisson bracket structure on the space of solutions of the equations of motions of first order Hamiltonian field theories. The cases of Hamilto…
Parametric models and information geometry on W*-algebras
Florio M. Ciaglia, Fabio Di Nocera, Jürgen Jost +1
We introduce the notion of smooth parametric model of normal positive linear functionals on possibly infinite-dimensional W*-algebras generalizing the notions of parametric models…
G-dual teleparallel connections in Information Geometry
Florio M. Ciaglia, Fabio Di Cosmo, Alberto Ibort +1
Given a real, finite-dimensional, smooth parallelizable Riemannian manifold endowed with a teleparallel connection determined by a choice of a global bas…
Poisson brackets in Sobolev spaces: a mock holonomy-flux algebra
J Fernando Barbero G, Marc Basquens, Bogar Díaz +1
The purpose of this paper is to discuss a number of issues that crop up in the computation of Poisson brackets in field theories. This is specially important for the canonical appr…
Contact Lagrangian systems subject to impulsive constraints
Leonardo J. Colombo, Manuel de León, Asier López-Gordón
We describe geometrically contact Lagrangian systems under impulsive forces and constraints, as well as instantaneous nonholonomic constraints which are not uniform along the confi…
Proof of the equivalence of the symplectic forms derived from the canonical and the covariant phase space formalisms
Juan Margalef-Bentabol, Eduardo J. S. Villaseñor
We prove that, for any theory defined over a space-time with boundary, the symplectic form derived in the covariant phase space is equivalent to the one derived from the canonical…
Discrete Dirac reduction of implicit Lagrangian systems with abelian symmetry groups
Álvaro Rodríguez Abella, Melvin Leok
This paper develops the theory of discrete Dirac reduction of discrete Lagrange-Dirac systems with an abelian symmetry group acting on the configuration space. We begin with the li…
Investigation of the two-cut phase region in the complex cubic ensemble of random matrices
Ahmad Barhoumi, Pavel M. Bleher, Alfredo Deaño +1
We investigate the phase diagram of the complex cubic unitary ensemble of random matrices with the potential where is a complex parameter. As proven i…
Symmetries and Covariant Poisson brackets on pre-symplectic manifolds
Florio M. Ciaglia, Fabio Di Cosmo, Alberto Ibort +3
Noticing that the space of the solutions of a first order Hamiltonian field theory has a pre-symplectic structure, we describe a class of conserved charges on it associated to the…
Inverse problem and equivalent contact systems
Manuel de León, Jordi Gaset, Manuel Lainz Valcázar
We present several results on the inverse problem and equivalent contactLagrangian systems. These problems naturally lead to consider smooth transformations on the z variable (i.e.…
Feynman's Propagator in Schwinger's picture of Quantum Mechanics
Florio M. Ciaglia, Fabio Di Cosmo, Alberto Ibort +3
A novel derivation of Feynman's sum-over-histories construction of the quantum propagator using the groupoidal description of Schwinger picture of Quantum Mechanics is presented. I…
Geometric Hamilton-Jacobi theory for systems with external forces
Manuel de León, Manuel Lainz, Asier López-Gordón
In this paper, we develop a Hamilton-Jacobi theory for forced Hamiltonian and Lagrangian systems. We study the complete solutions, particularize for Rayleigh systems and present so…
Symmetries and Reduction. Part II - Lagrangian and Hamilton-Jacobi picture
giuseppe marmo, luca schiavone, alessandro zampini
Following the analysis we have presented in a previous paper (that we refer to as [I]), we describe a Noether theorem related to symmetries, with the associated reduction procedure…
Quantum controllability on graph-like manifolds through magnetic potentials and boundary conditions
Aitor Balmaseda, Davide Lonigro, Juan Manuel Pérez-Pardo
We investigate the controllability of an infinite-dimensional quantum system: a quantum particle confined on a Thick Quantum Graph, a generalisation of Quantum Graphs whose edges a…